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21372832 = 251383619
BaseRepresentation
bin101000110000…
…1111110100000
31111012212000101
41101201332200
520432412312
62042032144
7346444315
oct121417640
944185011
1021372832
11110787a8
1271a8654
134574260
142ba4d0c
151d22a57
hex1461fa0

21372832 has 48 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 9729792.

The previous prime is 21372811. The next prime is 21372839. The reversal of 21372832 is 23827312.

It is a self number, because there is not a number n which added to its sum of digits gives 21372832.

It is not an unprimeable number, because it can be changed into a prime (21372839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34219 + ... + 34837.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 221372832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21372832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

21372832 is an abundant number, since it is smaller than the sum of its proper divisors (24561728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21372832 is a wasteful number, since it uses less digits than its factorization.

21372832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 21372832 is about 4623.0760322538. The cubic root of 21372832 is about 277.5155719963.

The spelling of 21372832 in words is "twenty-one million, three hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 619 664 1079 1238 1328 2158 2476 2656 4316 4952 8047 8632 9904 16094 17264 19808 32188 34528 51377 64376 102754 128752 205508 257504 411016 667901 822032 1335802 1644064 2671604 5343208 10686416 21372832